Linked Questions

33 votes
1 answer
34k views

Generate two variables with precise pre-specified correlation [duplicate]

UPDATE: Solution Thanks to Greg Snow for pointing out the empirical = TRUE command in mvrnorm (multivariate random normal stuff)! Here's the explicit code: ...
Jonas Lindeløv's user avatar
2 votes
1 answer
1k views

How can I generate 2 sets of variables from different distributions with a correlation between them in r? [duplicate]

I am working in R and would like to generate 40 numbers from $\mathrm{N}(0,1)$ and another 40 from $\mathrm{Uniform}(0,2)$ with a negative correlation (for example: $r = -0.45$) between them. The ...
Sandra's user avatar
  • 21
0 votes
1 answer
450 views

I like to generate correlated variables with a existing variable in R [duplicate]

In R, I like to create a set of variables that are correlated with a given variable.I scanned related questions but failed to find the same issue i have. Here is instance. ...
김만인's user avatar
1 vote
1 answer
402 views

Generate vectors with specified sample correlations with a fixed vector [duplicate]

I have a vector $Y$ of size less than 75. I want to generate vectors $X_1$ and $X_2$, of the same size, satisfying the following constraints. Sample mean and variance of $X_1$ and $X_2$ are equal to ...
eagle34's user avatar
  • 193
0 votes
0 answers
98 views

How to generate and correlate more than two random variables which are from different non-parametric distributions given then correlation matrix? [duplicate]

I tried to fit three variables using the non-parametric method(kernel smooth), and those distribution for each of three variables are different, so cholesky descomposition won´t work for replicate the ...
Zhe's user avatar
  • 11
1 vote
1 answer
87 views

Create a data set with correlated variables [duplicate]

I am trying to create a dataset where columns 2,3,4 are correlate (0.98,0.97,0.96, respectively) to column 1. Right now I have this code: ...
Caeli's user avatar
  • 11
2 votes
1 answer
34 views

Generate x and y with controlled correlation [duplicate]

I want to generate x and y variables with a controlled correlation. Currently, I'm using the following code to generate x and y (below). However, I want create a function where I can specify the ...
user avatar
0 votes
0 answers
22 views

Use Monte Carlo to produce new 'p' correlated data from existing data [duplicate]

As mentioned above, I have a problem where I need to generate new data Y from an existing data X such that Y is p correlated to X. I know their are several ways to do it but I want to know if monte ...
Rishabh Agrawal's user avatar
62 votes
4 answers
68k views

How to generate correlated random numbers (given means, variances and degree of correlation)?

I'm sorry if this seems a bit too basic, but I guess I'm just looking to confirm understanding here. I get the sense I'd have to do this in two steps, and I've started trying to grok correlation ...
Joseph Weissman's user avatar
17 votes
4 answers
16k views

Are two standard normal random variables always independent?

I learned that the standard normal distribution is unique because the mean and variance are fixed at 0 and 1 respectively. By this fact, I wonder if any two standard random variables must be ...
C.Hawk's user avatar
  • 407
37 votes
3 answers
38k views

Generating data with a given sample covariance matrix

Given a covariance matrix $\boldsymbol \Sigma_s$, how to generate data such that it would have the sample covariance matrix $\hat{\boldsymbol \Sigma} = \boldsymbol \Sigma_s$? More generally: we are ...
Kees Mulder's user avatar
  • 1,714
27 votes
3 answers
28k views

How can I generate data with a prespecified correlation matrix?

I’m trying to generate correlated random sequence with mean = $0$, variance = $1$, correlation coefficient = $0.8$. In the code below, I use s1 & ...
anisa's user avatar
  • 271
14 votes
1 answer
5k views

How to define a distribution such that draws from it correlate with a draw from another pre-specified distribution?

How do I define the distribution of a random variable $Y$ such that a draw from $Y$ has correlation $\rho$ with $x_1$, where $x_1$ is a single draw from a distribution with cumulative distribution ...
OctaviaQ's user avatar
  • 1,049
16 votes
1 answer
2k views

@whuber 's generation of a random variable with fixed covariance structure

The question refers to @whuber's algorithm to draw a random variable with a given covariance structure to a given set of random variables: https://stats.stackexchange.com/a/313138/3277 The algorithm ...
user194462's user avatar
6 votes
3 answers
13k views

Tool for generating correlated data sets

Does anyone know of a tool that I can use to generate a set of data with known correlations (and to put the icing on the cake - output this in json,csv,txt or some common format)? I am working on ...
alaknis's user avatar
  • 61

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